Join the Joint

Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT




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There is a hypothetical state between the USA and Mexico border 'Tango'.
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There are nine dots in the picture that has been attached with this question. Can you join all the dots by drawing four straight lines without picking up your pen?

Dots on Lines

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In the Mexico City area, there are two Houses H1 and H2. Both H1 and H2 have two children each.
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Spot what is wrong here in below Picture?

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What is common here

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Detective John was investigating a murder in China.
It was a difficult case, and John was completely stumped until he noticed a message sent to him by the killer cunningly hidden in a newspaper advertisement selling Car Licence Plates.
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Q1) How did John know the advert was a clue for him?

Q2) Solve the code and tell me who John arrested.

This is the newspaper advert (Car licence plates for sale) that Detective John saw.

Plates For Sale;

[W 05 NWO]
[H 13 HSR]
[O 05 EBM]
[D 08 UNE]
[U 10 HTY]
[N 04 BRE]
[N 16 TTE]
[I 26 LHC]
[T 10 AEE]
[I 26 CNA]
[X 22 VDA]

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Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

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Take away the whole and some still remain. What is it?

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Amazing Facts

Word ladder puzzle

The word ladder puzzle was invented by Lewis Carroll, author of Alice’s Adventures in Wonderland.